Spectral methods: algorithms, analysis and applications
by Shen, Jie
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in part…
Read More ↓Title Statements
- Full title :Spectral methods : algorithms, analysis and applications / Jie Shen, Tao Tang, Li-Lian Wang.
Summary
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Springer
- Place of Publication:New York
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:1 online resource (xvi, 470 pages) : : illustrations (chiefly color)
Edition Identifiers
- ISBN:9783540710417, 3540710418, 1283369508, 9781283369503
- oclc:ocn759159157
- LC Classification:QA371
- Dewey Decimal:515.7222
Table of Contents
Introduction -- Fourier Spectral Methods for Periodic Problems -- Orthogonol Polynomials and Related Approximation Results -- Second-Order Two-Point Boundary Value Problems -- Integral Equations -- High-Order Differential Equations -- Problems in Unbounded Domains -- Multi-Dimensional Domains -- Mathematical Preliminaries -- Basic iterative methods -- Basic time discretization schemes -- Instructions for routines in Matlab. .
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Equations différentielles p-adiques: applications aux sommes exponentielles
Christol, Gilles
Recent advances in differential equations
Pan-China Conference on Differential Equations, Kunming, China)
Differential equations: stability and control
Proceedings.
INTERNATIONAL SYMPOSIUM ON DYNAMICAL SYSTEMS, 1976, Florida, Gainesville
Transformations of manifolds and applications to differential equations
Tenenblat, Keti
Stochastic partial differential equations
Rate & Review